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                TopCoder SRM 463 RabbitPuzzle                </h1>
                <p>时间限制：1s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><p style="text-indent: 21pt"><span style="position: relative; top: 3pt">从前，森林里有三只寂寞的兔子。&nbsp;</span><span style="font-family: '宋体'; position: relative; top: 3pt; mso-text-raise: -3.0000pt; mso-spacerun: 'yes'">它们平时搞<font face="Times New Roman">OI</font><font face="宋体">，做题做累了就开始玩游戏。</font></span><span style="font-family: 'Times New Roman'; position: relative; top: 3pt; mso-text-raise: -3.0000pt; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 21pt"><span style="font-family: '宋体'; position: relative; top: 3pt; mso-text-raise: -3.0000pt; mso-spacerun: 'yes'">游戏在一个无限长的由树桩组成的直线上进行，相邻两树桩距离相同，为了方便表示，兔子们把树桩标号为&hellip;，<font face="Times New Roman">-2</font><font face="宋体">，</font><font face="Times New Roman">-1</font><font face="宋体">，</font><font face="Times New Roman">0</font><font face="宋体">，</font><font face="Times New Roman">1</font><font face="宋体">，</font><font face="Times New Roman">2</font><font face="宋体">，&hellip;。游戏开始时，三只兔子站在不同的三个树桩上。游戏中，兔子可以跳过另一只兔子到达轴对称的那个树桩上。</font></span><span style="font-family: 'Times New Roman'; position: relative; top: 3pt; mso-text-raise: -3.0000pt; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 21pt"><span style="font-family: 'Times New Roman'; position: relative; top: 3pt; mso-text-raise: -3.0000pt; mso-spacerun: 'yes'"><img height="285" alt="" width="550" src="../file/2454_0.jpg" /></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 21pt"><span style="font-family: 'Times New Roman'; position: relative; top: 3pt; mso-text-raise: -3.0000pt; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><span style="font-size: medium"><span style="font-family: 宋体; position: relative; top: 3pt; mso-text-raise: -3.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">但是，兔子不能落在已有兔子的树桩，也不能一次跃过两只兔子。</span></span><span lang="EN-US" style="position: relative; top: 3pt; mso-text-raise: -3.0pt"><o:p></o:p></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><span style="font-size: medium"><span style="font-family: 宋体; position: relative; top: 3pt; mso-text-raise: -3.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">出于</span><span lang="EN-US" style="position: relative; top: 3pt; mso-text-raise: -3.0pt">OIer</span><span style="font-family: 宋体; position: relative; top: 3pt; mso-text-raise: -3.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的本性，兔子们想探究一下，从游戏的初始局面，恰跳</span><span lang="EN-US" style="position: relative; top: 3pt; mso-text-raise: -3.0pt">K</span><span style="font-family: 宋体; position: relative; top: 3pt; mso-text-raise: -3.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">次到达某个特定局面，有多少种不同的跳跃顺序。</span></span><span lang="EN-US" style="position: relative; top: 3pt; mso-text-raise: -3.0pt"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; text-indent: 21pt"></p>
<!--EndFragment--></p><hr/><h3>输入格式</h3><p><p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; line-height: 150%"><span style="font-size: 10.5pt; font-family: '宋体'; mso-spacerun: 'yes'">输入一行，前三个数字，表示三只兔子的起始位置。接下来三个数字，表示终止局面的位置。最后一个数字，表示<font face="Times New Roman">K</font><font face="宋体">。</font></span><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; line-height: 150%"><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<!--EndFragment--></p><hr/><h3>输出格式</h3><p><p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; line-height: 150%"><span style="font-size: 10.5pt; font-family: '宋体'; mso-spacerun: 'yes'">输出不同方案数模<font face="Times New Roman">1,000,000,007</font><font face="宋体">的结果。</font></span><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p>
<p class="p0" style="margin-top: 0pt; margin-bottom: 0pt; margin-left: 21pt"><span style="font-size: 10.5pt; font-family: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></span></p></p><hr/><h3>样例输入</h3><pre>0 5 8 0 8 11 3

</pre><hr/><h3>样例输出</h3><pre>5

</pre><hr/><h3>提示</h3><p><p>100%数据满足1&le;k&le;100，位置标号的绝对值不超过10^18。<br />
</p></p><hr/><h3>题目来源</h3><p>2011福建集训</p>
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